Atkin-Lehner |
2+ 3+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190f |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
329906250 = 2 · 33 · 56 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12504,541310] |
[a1,a2,a3,a4,a6] |
Generators |
[61:22:1] [-29:952:1] |
Generators of the group modulo torsion |
j |
8008042693700763/12218750 |
j-invariant |
L |
6.0818728515282 |
L(r)(E,1)/r! |
Ω |
1.4587058120374 |
Real period |
R |
1.3897873949498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35190bb2 |
Quadratic twists by: -3 |